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Creators/Authors contains: "Zhang, Shiwen"

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  1. ; ; ; (, Advanced Nonlinear Studies)
    We show that there is a one-to-one correspondence between solutions to the Poisson-landscape equations and the reduced Hartree-Fock equations in the semi-classical limit at low temperature. Moreover, we prove that the difference between the two corresponding solutions is small by providing explicit estimates. 
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  2. ; ; ; ; (, Communications in Mathematical Physics)
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  3. ; ; (, Journal d'Analyse Mathématique)
    Accepted Manuscript Full Text Available
  4. ; ; ; ; ; ; (, Physical Review A)
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  5. ; (, International Mathematics Research Notices)
    Abstract We consider one-dimensional quasi-periodic Schrödinger operators with analytic potentials. In the positive Lyapunov exponent regime, we prove large deviation estimates, which lead to refined Hölder continuity of the Lyapunov exponents and the integrated density of states, in both small Lyapunov exponent and large coupling regimes. Our results cover all the Diophantine frequencies and some Liouville frequencies. 
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  6. ; (, International mathematics research notices)
    We consider one-dimensional quasi-periodic Schr\"odinger operators with analytic potentials. In the positive Lyapunov exponent regime, we prove large deviation estimates which lead to refined H\"older continuity of the Lyapunov exponents and the integrated density of states, in both small Lyapunov exponent and large coupling regimes. Our results cover all the Diophantine frequencies and some Liouville frequencies. 
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    Accepted Manuscript Full Text Available
  7. ; ; (, Communications in Mathematical Physics)
    null (Ed.)
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